log(8)(5x+2)+log(8)(x+1)=1

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Solution for log(8)(5x+2)+log(8)(x+1)=1 equation: 


Simplifying
log(8)(5x + 2) + log(8)(x + 1) = 1

Reorder the terms:
glo * 8(2 + 5x) + log(8)(x + 1) = 1

Reorder the terms for easier multiplication:
8glo(2 + 5x) + log(8)(x + 1) = 1
(2 * 8glo + 5x * 8glo) + log(8)(x + 1) = 1
(16glo + 40glox) + log(8)(x + 1) = 1

Reorder the terms:
16glo + 40glox + glo * 8(1 + x) = 1

Reorder the terms for easier multiplication:
16glo + 40glox + 8glo(1 + x) = 1
16glo + 40glox + (1 * 8glo + x * 8glo) = 1
16glo + 40glox + (8glo + 8glox) = 1

Reorder the terms:
16glo + 8glo + 40glox + 8glox = 1

Combine like terms: 16glo + 8glo = 24glo
24glo + 40glox + 8glox = 1

Combine like terms: 40glox + 8glox = 48glox
24glo + 48glox = 1

Solving
24glo + 48glox = 1

Solving for variable 'g'.

Move all terms containing g to the left, all other terms to the right.

Reorder the terms:
-1 + 24glo + 48glox = 1 + -1

Combine like terms: 1 + -1 = 0
-1 + 24glo + 48glox = 0

The solution to this equation could not be determined.

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